506215125 has 48 divisors (see below), whose sum is σ = 982760688. Its totient is φ = 249206400.

The previous prime is 506215123. The next prime is 506215139. The reversal of 506215125 is 521512605.

506215125 is a `hidden beast` number, since 506 + 2 + 151 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 293025924 + 213189201 = 17118^2 + 14601^2 .

It is not a de Polignac number, because 506215125 - 2¹ = 506215123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506215123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2682 + ... + 31931.

It is an arithmetic number, because the mean of its divisors is an integer number (20474181).

Almost surely, 2^506215125 is an apocalyptic number.

It is an amenable number.

506215125 is a deficient number, since it is larger than the sum of its proper divisors (476545563).

506215125 is a wasteful number, since it uses less digits than its factorization.

506215125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34647 (or 34634 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 506215125 is about 22499.2249866523. The cubic root of 506215125 is about 796.9756251247.

The spelling of 506215125 in words is "five hundred six million, two hundred fifteen thousand, one hundred twenty-five".